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If the system of inequalities ax + by > c and dx+ey≤f dx + ey \leq f is graphed in the xy xy -plane, which quadrant contains no solutions to the system?

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Full solution

Q. If the system of inequalities ax+by>c ax + by > c and dx+ey≤f dx + ey \leq f is graphed in the xy xy -plane, which quadrant contains no solutions to the system?
  1. Identify Inequalities: Identify the inequalities. Let's assume the inequalities are x > 0 and y > 0.
  2. Graph x > 0: Graph x > 0. This is the right half of the plane (Quadrants II and IVIV).
  3. Graph y > 0: Graph y > 0. This is the upper half of the plane (Quadrants II and IIII).
  4. Find Intersection: Find the intersection of x > 0 and y > 0. This is Quadrant II.
  5. Check Excluded Quadrants: Check which quadrants are not included in the solution. Quadrants IIII, IIIIII, and IVIV are not included.
  6. Identify No Solution Quadrant: Identify the quadrant that contains no solutions. Quadrant IIIIII contains no solutions.

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